A very short proof of an inequality due to Cutler and Olsen is presented.doi:10.2307/2686823Norman Schaumberger and Bert KabakCollege Mathematics Journal
Jensen's inequality applies to convex and concave functions. The properties of these functions that are relevant for understanding the proof of the inequality are: the tangents of a convex function lie entirely below its graph; the tangents of a concave function lie entirely above its graph. Al...
翻译结果2复制译文编辑译文朗读译文返回顶部 证据依据 对于 的 Jensen 的不平等的直接使用 concave 功能 ~(C), C E LC:翻译结果3复制译文编辑译文朗读译文返回顶部 证明基于詹森的不平等的凹函数的直接使用 ~ (C) C E LC:翻译结果4复制译文编辑译文朗读译文返回顶部 正在翻译,请等待...翻译结果5复制译文编辑...
A probabilistic proof of the Hardy inequalityJensen inequalityScale distributionThis short note provides a fully probabilistic proof to the Hardy inequality.doi:10.1016/j.spl.2015.03.007WalkerStephen G.Elsevier B.V.Statistics & Probability Letters
An information - theoretic proof of Hadamard's inequality (Corresp.) Hadamard's inequality follows immediately from inspection of both sides of the entropy inequalityh(X_{1}, X_{2},, cdots, X_{n})leq sum h(X_{i}), when(X_{l}, X_{2},cdots, X_{n})is multivariate normal. Cov...
Central limit theoremConcavityConvexityGamma functionJensen’s inequalityPrimary 33B1541A60Secondary 26D07In the context of Stirling's formula for gamma ... N Mukhopadhyay,M Son - 《Methodology & Computing in Applied Probability》 被引量: 3发表: 2015年 Plasma heating and burnout in beam-plasma int...
Let Gn,ν be the set of all n-vertex connected graphs with cyclomatic number ν. Let u be a fixed pendant vertex of the n-vertex star graph Sn, where n≥4. As in [2], denote by Hn,ν the graph obtained from Sn by adding ν≥1 edge(s) between u and ν other pendant vertices...
In summary, we proved that $\And[O(x,\infty)]=sup\left\{\And[O(x,n)]:n\in\Bbb{N}\right\}$ by showing that the supremum of the diameters of the sets $O(x,n)$ is equal to the diameter of the set $O(x,\infty)$, and vice versa. This was done using the two clauses ...
P. Niculescu, A simple proof of the Jensen type inequality of Fink and Jodeit. To appear in Mediterr. J. Math. 2016.Mihai, M., Niculescu, C.P.: A simple proof of the Jensen type inequality of Fink and Jodeit. Mediterr. J. Math. : 10.1007/s00009-014-0480-4...
The application of Jensen's inequality in computing asymptotics is also noted.BecknerWilliamIMRN: International Mathematics Research NoticesW. Beckner, Geometric proof of Nash's inequality, Int. Math. Res. Not. 1998, 67-71.W. Beckner, Geometric proof of Nash's inequality, Internat. Math. Res...